Critical Slowing Down at a Fold and a Period Doubling Bifurcations for a Gauss Map
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Data
2019-12-01
Autores
de Oliveira, Juliano A. [UNESP]
de Mendonça, Hans M. J. [UNESP]
da Silva, Anderson A. A. [UNESP]
Leonel, Edson D. [UNESP]
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Resumo
The convergence to the stationary state is described using scaling arguments at a fold and a period doubling bifurcation in a one-dimensional Gauss map. Two procedures are used: (i) a phenomenological investigation leading to a set of critical exponents defining the universality class of the bifurcation and; (ii) analytical investigation that transforms, near the stationary state, the difference equation into an ordinary differential equation that is easily solved. The novelty of the procedure comes from the fact that it is firstly applied to the Gauss map and critical exponents for the fold bifurcations are defined.
Descrição
Palavras-chave
Bifurcations, Critical exponents, Gauss map, Scaling law
Como citar
Brazilian Journal of Physics, v. 49, n. 6, p. 923-927, 2019.